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Which of these expressions is equivalent...

Which of these expressions is equivalent to the pressure exerted on a body?

A

Volume of body x force applied

B

Force applied/volume of body

C

Area of contact/force applied

D

Force applied / area of contact

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The correct Answer is:
To determine which expression is equivalent to the pressure exerted on a body, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Pressure**: - Pressure is defined as the amount of force applied per unit area. It tells us how concentrated the force is over a certain area. 2. **Identifying the Formula**: - The formula for pressure (P) can be expressed mathematically as: \[ P = \frac{F}{A} \] where: - \( P \) = Pressure - \( F \) = Force applied - \( A \) = Area over which the force is applied 3. **Analyzing the Options**: - Now, let’s analyze the given options based on the pressure formula: 1. Volume of body multiplied by force applied: This does not relate to pressure. 2. Force applied upon volume of body: This does not relate to pressure. 3. Area of contact upon force applied: This is the inverse of pressure. 4. Force applied upon area of contact: This matches the pressure formula. 4. **Conclusion**: - The correct expression that is equivalent to the pressure exerted on a body is: \[ \text{Force applied upon area of contact} \] - Therefore, the answer is option 4.
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